ht_matrix_to_joint_probs function

Compute the matrix of joint inclusion probabilities from the quadratic form of a Horvitz-Thompson variance estimator.

ht_matrix_to_joint_probs(ht_quad_form)

Arguments

• ht_quad_form: The matrix of the quadratic form representing the Horvitz-Thompson variance estimator.

Returns

The matrix of joint inclusion probabilities

Details

The quadratic form matrix of the Horvitz-Thompson variance estimator has $ij$-th entry equal to $(1-\frac{\pi_i \pi_j}{\pi_{ij}})$. The matrix of joint probabilties has $ij$-th entry equal to $\pi_{ij}$.